3 citations · 4 across the 11 of their papers we have counts for
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Titchmarsh Theorems for Hölder-Lipschitz functions on profinite groups
J. P. Velasquez-Rodriguez
In this note we extend to metrizable profinite groups the classical theorems of Titchmarsh on the Fourier transform of Hölder-Lipschitz functions. This generalizes the results of Y…
Hardy inequalities on constant-order noncommutative Vilenkin groups
Aidyn Kassymov, J. P Velasquez-Rodriguez
In this note we extend several integral inequalities to the context of noncommutative Vilenkin groups. We prove some sharp weak and strong type estimates for the Hardy operator and…
Fundamental solution of the Vladimirov-Taibleson operator on noncommutative Vilenkin groups
Julio delgado, Juan Pablo Velasquez-Rodriguez
The fundamental solution and the heat semigroup of the Vladimirov-Taibleson operator on constant-order noncommutative Vilenkin groups are obtained, together with some estimates on…
Hörmander classes of pseudo-differential operators over the compact group of -adic integers
Juan Pablo Velasquez-Rodriguez
The purpose of this paper is to introduce new definitions of Hörmander classes for pseudo-differential operators over the compact group of -adic integers. Our definitions posses…
On some spectral properties of pseudo-differential operators on T
Juan Pablo Velasquez-Rodriguez
In this paper we use Riesz spectral Theory and Gershgorin Theory to obtain explicit information concerning the spectrum of pseudo-differential operators defined on the unit circle…
Non-harmonic Gohberg's lemma, Gershgorin theory and heat equation on manifolds with boundary
Michael Ruzhansky, Juan Pablo Velasquez-Rodriguez
In this paper, following the works on non-harmonic analysis of boundary value problems by Tokmagambetov, Ruzhansky and Delgado, we use Operator Ideals Theory and Gershgorin Theory…